The C*-algebra of a vector bundle and fields of Cuntz algebras

被引：12

作者：

Vasselli, E ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 222卷 / 02期

关键词：

Cuntz-Pimsner algebra; Cuntz algebra; continuous field; vector bundle; K-theory;

D O I：

10.1016/j.jfa.2004.09.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Cuntz-Pimsner algebra associated with the module of continuous sections of a Hilbert bundle, and prove that it is a continuous bundle of Cuntz algebras. Furthermore, we assign to bundles of Cuntz algebras carrying a global circle action a class in the representable KK-group of the zero-grade bundle. We explicitly compute such class for the Cuntz-Pimsner algebra of a vector bundle. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：491 / 502

页数：12

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